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Identifying the microscopic mechanism for superconductivity in magic-angle twisted bilayer graphene (MATBG) is an outstanding open problem. While MATBG exhibits a rich phase-diagram, driven partly by the strong interactions relative to the…

超导电性 · 物理学 2021-06-09 Cyprian Lewandowski , Debanjan Chowdhury , Jonathan Ruhman

Magic-angle ($\theta=1.05^\circ$) twisted bilayer graphene (MATBG) has shown two seemingly contradictory characters: the localization and quantum-dot-like behavior in STM experiments, and delocalization in transport experiments. We…

强关联电子 · 物理学 2023-01-12 Zhi-Da Song , B. Andrei Bernevig

It has been recently postulated, that the strongly correlated flat bands of magicangle twisted bilayer graphene (MATBG) can host coexisting heavy and light carriers. While transport and spectroscopic measurements have shown hints of this…

Song and Bernevig (SB) have recently proposed a topological heavy fermion description of the physics of magic angle twisted bilayer graphene (MATBG), involving the hybridization of flat band electrons with a relativistic conduction sea. We…

强关联电子 · 物理学 2025-04-29 Liam L. H. Lau , Piers Coleman

We develop a perturbative renormalization group (RG) theory for the topological heavy fermion (THF) model, describing magic-angle twisted bilayer graphene (MATBG) as an emergent Anderson lattice. Our theory focuses on an energy window where…

强关联电子 · 物理学 2026-01-21 Yi Huang , Yang-Zhi Chou , Sankar Das Sarma

We propose a theory for how the weak phonon-mediated interaction ($J_{\rm A}\!=\!1\!\sim\!4$meV) wins over the prohibitive Coulomb repulsion ($U\!=\!30\!\sim\!60$meV) and leads to a superconductor in magic-angle twisted bilayer graphene…

超导电性 · 物理学 2024-10-03 Yi-Jie Wang , Geng-Dong Zhou , Shi-Yu Peng , Biao Lian , Zhi-Da Song

The recently-introduced Topological Heavy Fermion (THF) model [Phys. Rev. Lett. 129, 047601] of twisted bilayer graphene (TBG) aims to reconcile the quantum-dot-like electronic structure of the latter observed by scanning tunneling…

We use self-consistent Hartree-Fock calculations performed in the full $\pi$-band Hilbert space to assess the nature of the recently discovered correlated insulator states in magic-angle twisted bilayer graphene (TBG). We find that gaps…

强关联电子 · 物理学 2020-03-11 Ming Xie , Allan H. MacDonald

We investigate the twisted bilayer graphene by a two-orbital Hubbard model on the honeycomb lattice. The model is studied near 1/4 band filling by using the singular-mode functional renormalization group theory. Spin-triplet $f$-wave…

超导电性 · 物理学 2019-04-03 Q. K. Tang , L. Yang , D. Wang , F. C. Zhang , Q. H. Wang

The emergence of superconductivity with doping from correlated insulators in magic-angle twisted bilayer graphene (MATBG) has raised the intriguing possibility that its pairing mechanism is distinct from that of conventional…

At large commensurate angles, twisted bilayer graphene which holds even parity under sublattice exchange exhibits a tiny gap. Here, we point out a way to tune this tiny gap into a large gap. We start from comprehensive understanding of the…

介观与纳米尺度物理 · 物理学 2024-03-22 Xiu-Cai Jiang , Yi-Yuan Zhao , Yu-Zhong Zhang

We develop a model to describe the mixed valence regime in magic-angle twisted bilayer graphene (MATBG) using the recently developed heavy-fermion framework. By employing the large-$N$ slave-boson approach, we derive the self-consistent…

超导电性 · 物理学 2024-07-16 Yantao Li , Benjamin M. Fregoso , Maxim Dzero

Magic angle twisted bilayer graphene (MATBG) hosts narrow moir\'e bands with meV-scale energy splittings, making its correlated phases sensitive to both material parameters and modeling choices in low-energy downfolding. We develop an ab…

强关联电子 · 物理学 2026-03-12 Raehyun Kim , Woochang Kim , Kevin D. Stubbs , Steven G. Louie , Lin Lin

We investigate the topological heavy-fermion (THF) model of magic-angle twisted bilayer graphene (MATBG) in the projected limit, where only the flat bands are present in the low-energy spectrum. Such limit has been previously analyzed in…

强关联电子 · 物理学 2025-10-20 Haoyu Hu , Zhi-Da Song , B. Andrei Bernevig

Microscopic details such as interactions and Fermiology determine the structure of superconducting pairing beyond the spatial symmetry classification along irreducible point group representations. From the effective pairing vertex, the…

超导电性 · 物理学 2020-05-06 Xianxin Wu , Werner Hanke , Mario Fink , Michael Klett , Ronny Thomale

Topological heavy fermion models[1-5] describe the flat bands in magic-angle twisted bilayer graphene (MATBG) as arising from the hybridization between localized flat-band orbitals (f-electrons) and nearly-free conduction bands…

介观与纳米尺度物理 · 物理学 2025-03-25 Zhenyuan Zhang , Shuang Wu , Dumitru Călugăru , Haoyu Hu , Takashi Taniguchi , Kenji Wanatabe , Andrei B. Bernevig , Eva Y. Andrei

Twisted bilayer graphene (TBG) features strongly correlated and topological phases due to its flat bands emerging near the magic angle. However, the effects of the non-Hermiticity, arising from the coupling to the environment and…

介观与纳米尺度物理 · 物理学 2025-06-06 Juan Pablo Esparza , Vladimir Juricic

A number of interesting physical phenomena have been discovered in magic-angle twisted bilayer graphene (MATBG), such as superconductivity, correlated gapped and gapless phases, etc. The gapped phases are believed to be symmetry-breaking…

强关联电子 · 物理学 2024-01-19 Geng-Dong Zhou , Yi-Jie Wang , Ninghua Tong , Zhi-Da Song

We apply a generalized Schrieffer-Wolff transformation to the extended Anderson-like topological heavy fermion (THF) model for the magic-angle $(\theta=1.05^{\circ})$ twisted bilayer graphene (MATBLG) (Phys. Rev. Lett. 129, 047601 (2022)),…

强关联电子 · 物理学 2023-07-26 Haoyu Hu , B. Andrei Bernevig , Alexei M. Tsvelik

The unusual properties of superconductivity in magic-angle twisted bilayer graphene (MATBG) have sparked enormous research interest. However, despite the dedication of intensive experimental efforts and the proposal of several possible…

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